4507
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4508
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4506
- Möbius Function
- -1
- Radical
- 4507
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 90
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 611
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 8 positive 7th powers.at n=18A003375
- a(n) = floor(n*phi^12), where phi is the golden ratio, A001622.at n=14A004927
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=32A007354
- Coordination sequence T7 for Zeolite Code MEL.at n=43A008156
- Number of trees on n nodes with forbidden limbs.at n=15A014265
- Number of trees on n nodes with forbidden limbs.at n=15A014266
- Coordination sequence T1 for Zeolite Code OSI.at n=44A016430
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=19A020397
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=34A023262
- Partial sums of the partition numbers A000041 of the positive integers.at n=21A026905
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 67.at n=2A031565
- Upper prime of a difference of 14 between consecutive primes.at n=24A031933
- Number of rooted compound windmills with n nodes and leaves of 2 colors where any 2 submills extending from the same node are different.at n=9A032161
- a(1)=1, a(n) = smallest odd number such that all sums of pairs of (not necessarily distinct) terms in the sequence are distinct.at n=36A034757
- Number of partitions satisfying cn(0,5) = cn(1,5) + cn(4,5).at n=44A039858
- Numbers whose base-7 representation contains exactly three 6's.at n=30A043419
- Discriminants of imaginary quadratic fields with class number 13 (negated).at n=18A046010
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n-1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3, and a(3) = 4.at n=13A049929
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=8A052233
- Binomial transform of A000031.at n=9A054185